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Answer: x=1
y=2
Step-by-step explanation:
y=-x+3
y=4x-2
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y=y
-x+3=4x-2
3+2=4x+x
5=5x
x=1
y=-1+3
y=2
Answer:
See Below.
Step-by-step explanation:
We are given that:

By vertical angles:

Hence, by substitution:

Then by Angle-Angle Similarity:

Answer:
No solutions
Explanation:
The given system of equations is
2y = x + 9
3x - 6y = -15
To solve the system, we first need to solve the first equation for x, so
2y = x + 9
2y - 9 = x + 9 - 9
2y - 9 = x
Then, replace x = 2y - 9 on the second equation
3x - 6y = -15
3(2y - 9) - 6y = -15
3(2y) + 3(-9) - 6y = -15
6y - 27 - 6y = -15
-27 = -15
Since -27 is not equal to -15, we get that this system of equation doesn't have solutions.